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Geometry

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Which is logically equivalent to ~p -> q?
a.) ~q -> p
b.) ~q -> ~p
c.) q -> p
d.) q -> ~p

  • Geometry -

    I am not certain of your usage of ->, but I have a technique you can use that will work always.

    Construct a truth table, such as this:
    http://www.gateways2learning.com/SetTheory/EquivalentStatements.pdf

  • Geometry -

    It is just like your previous post. The contrapositive of

    ~p -> q

    reverses the direction of implication, and the logical values:

    ~(q) -> ~(~p)
    ~q -> p

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